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Finding the Fourth Proportional to 575.35, 862.09 and 520.67

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Solution

The fourth proportional to 575.35, 862.09 and 520.67 is: 780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.35 : 862.09 = 520.67 : x
  2. Step 2: Convert to fraction form
    575.35/862.09 = 520.67/x
  3. Step 3: Cross multiply
    575.35x = 862.09 × 520.67
  4. Step 4: Simplify right side
    575.35x = 448,864.40
  5. Step 5: Solve for x
    x = 448,864.40/575.35
  6. Step 6: Final answer
    x = 780.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.